11,328
pages
Not to be confused with throogol.

The troogol is equal to $$\{10,10,10,100\}$$[1] in BEAF, or $$10\lbrace\lbrace\cdots\lbrace\lbrace10\rbrace\rbrace\cdots\rbrace\rbrace10$$ (100 pairs of $$\lbrace\rbrace$$) in Bowers's extended operator notation. It was coined by Chris Bird to continue the googol and boogol series. This number is comparable to Saibian's throogol.

Username5243 calls this number Megoogol (formerly Gigoogol), and it's equal to $$10[0,0,1]100$$ in Username5243's Array Notation.[2]

## Etymology

The name of the number is based on Latin prefix "tri-" and the number "googol".

## Approximations

Notation Approximation
Bird's array notation $$\{10,10,10,100\}$$ (exact)
Hyper-E notation $$\textrm E100\#\#\#100$$
Chained arrow notation $$100 \rightarrow_2 101$$
Fast-growing hierarchy $$f_{\omega^2}(100)$$
Hardy hierarchy $$H_{\omega^{\omega^2}}(100)$$
Slow-growing hierarchy (with this system of fundamental sequences) $$g_{\varphi(99,\omega,0)}(100)$$

## Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.
2. Username5243. shortened list - My Large Numbers. Retrieved 2017-10-11.

Jonathan Bowers' googol series

Googol series: googol(plex/duplex/triplex/quadraplex/quinplex) · giggol(plex/duplex) · gaggol(plex/duplex) · geegol(plex) · gigol(plex) · goggol(plex) · gagol(plex)
Boogol series: boogol(plex/duplex/triplex) · biggol(plex/duplex) · baggol(plex) · beegol(plex) · bigol · boggol · bagol
Troogol series: troogol(plex/duplex) · triggol(plex/duplex) · traggol(plex/duplex) · treegol · trigol · troggol · tragol
Quintoogol series: quintoogol(plex) · quintiggol · quintaggol · quinteegol · quintigol · quintoggol · quintagol · (sextoogol · septoogol · octoogol)
Goobol series: goobol(plex) · gibbol · gabbol · geebol · gibol · gobbol · gabol
Boobol series: boobol · bibbol · babbol · beebol · bibol · bobbol · babol
Troobol series: troobol · tribbol · trabbol